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Monte Carlo simulations of the two-dimensional XY model are performed in a square geometry with fixed boundary conditions. Using a conformal mapping it is very easy to deduce the exponent eta_sigma(T) of the order parameter correlation…

统计力学 · 物理学 2009-11-07 B. Berche , A. Farinas Sanchez , R. Paredes

Parallel tempering (PT) is a class of Markov chain Monte Carlo algorithms that constructs a path of distributions annealing between a tractable reference and an intractable target, and then interchanges states along the path to improve…

We introduce a new model for sums of exchangeable binary random variables. The proposed distribution is an approximation to the exact distributional form, and relies on the theory of completely monotone functions and the Laplace transform…

统计方法学 · 统计学 2020-11-18 Ryan Elmore

The probability distribution of a function of a subsystem conditioned on the value of the function of the whole, in the limit when the ratio of their values goes to zero, has a limit law: It equals the unconditioned marginal probability…

数学物理 · 物理学 2021-01-18 Yu-Chen Cheng , Hong Qian , Yizhe Zhu

The decay rate for a particle in a metastable cubic potential is investigated in the quantum regime by the Euclidean path integral method in semiclassical approximation. The imaginary time formalism allows one to monitor the system as a…

统计力学 · 物理学 2008-04-22 Marco Zoli

We report the results of a molecular dynamics simulation of a supercooled binary Lennard-Jones mixture. By plotting the self intermediate scattering functions vs. rescaled time, we find a master curve in the $\beta$-relaxation regime. This…

凝聚态物理 · 物理学 2009-10-22 Walter Kob , Hans C. Andersen

We study the performance of QCD simulations with dynamical Wilson fermions by combining the Hybrid Monte Carlo algorithm with parallel tempering on $10^4$ and $12^4$ lattices. In order to compare tempered with standard simulations,…

高能物理 - 格点 · 物理学 2009-11-07 E. -M. Ilgenfritz , W. Kerler , M. Muller-Preussker , H. Stuben

For random-walk Metropolis (RWM) and parallel tempering (PT) algorithms, an asymptotic acceptance rate of around 0.234 is known to be optimal in certain high-dimensional limits. However, its practical relevance is uncertain due to…

统计计算 · 统计学 2025-08-05 Aidan Li , Liyan Wang , Tianye Dou , Jeffrey S. Rosenthal

Integrated tempering sampling (ITS) method is an approach to enhance the sampling over a broad range of energies and temperatures in computer simulations. In this paper, a new version of integrated tempering sampling method is proposed. In…

计算物理 · 物理学 2015-06-15 Peng Zhao , Li Jiang Yang , Yi Qin Gao , Zhong-Yuan Lu

It was recently demonstrated that a simple Monte Carlo (MC) algorithm involving the swap of particle pairs dramatically accelerates the equilibrium sampling of simulated supercooled liquids. We propose two numerical schemes integrating the…

Quantum mechanics for many-body systems may be reduced to the evaluation of integrals in 3N dimensions using Monte-Carlo, providing the Quantum Monte Carlo ab initio methods. Here we limit ourselves to expectation values for trial…

计算物理 · 物理学 2010-11-22 John Robert Trail , Ryo Maezono

The one-loop effective potential for gauge models in static de Sitter space at finite temperatures is computed by means of the $\zeta$--function method. We found a simple relation which links the effective potentials of gauge and scalar…

高能物理 - 理论 · 物理学 2016-09-06 Lara De Nardo , Dmitri V. Fursaev , Gennaro Miele

This work proposes an adaptive sequential Monte Carlo sampling algorithm to solve Bayesian inverse problems in scenarios where likelihood evaluations are costly but can be approximated using a surrogate model built from previous evaluations…

统计计算 · 统计学 2025-08-26 Frederic Cerou , Patrick Heas , Mathias Rousset

Markov Chain Monte Carlo (MCMC) underlies both statistical physics and combinatorial optimization, but mixes slowly near critical points and in rough landscapes. Parallel Tempering (PT) improves mixing by swapping replicas across…

机器学习 · 计算机科学 2025-09-30 Saleh Bunaiyan , Corentin Delacour , Shuvro Chowdhury , Kyle Lee , Kerem Y. Camsari

We revisit the non-preemptive speed-scaling problem, in which a set of jobs have to be executed on a single or a set of parallel speed-scalable processor(s) between their release dates and deadlines so that the energy consumption to be…

数据结构与算法 · 计算机科学 2014-07-30 Evripidis Bampis , Dimitrios Letsios , Giorgio Lucarelli

Parallel tempering and population annealing are both effective methods for simulating equilibrium systems with rough free energy landscapes. Parallel tempering, also known as replica exchange Monte Carlo, is a Markov chain Monte Carlo…

统计力学 · 物理学 2011-09-05 Jon Machta , Richard S. Ellis

A molecular dynamics simulation is performed for a supercooled liquid of rigid diatomic molecules. The time-dependent self and collective density correlators of the molecular centers of mass are determined and compared with the predictions…

统计力学 · 物理学 2009-10-30 Stefan Kammerer , Walter Kob , Rolf Schilling

Parallel tempering simulates at many quark masses simultaneously, by changing the mass during the simulation while remaining in equilibrium. The algorithm is faster than pure HMC if more than one mass is needed, and works better the smaller…

高能物理 - 格点 · 物理学 2009-10-30 G. Boyd

Monte Carlo computer simulations are virtually the only way to analyze the thermodynamic behavior of a system in a precise way. However, the various existing methods exhibit extreme differences in their efficiency, depending on model…

统计力学 · 物理学 2011-07-05 Michael Bachmann

We test the effectiveness of the multicanonical algorithm for the tertiary structure prediction of peptides and proteins. As a simple example we study Met-enkephalin. The lowest-energy conformation obtained agrees with that determined by…

凝聚态物理 · 物理学 2007-05-23 Ulrich H. E. Hansmann , Yuko Okamoto